
已知f(a)=(sin(π-a)cos(2π-a)tan(-a+3π/2))/cos(-π-a),则f(-31π/3)=
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f(a)=sinacos(-a)cota/(-cosa)
=sinacosa(cosa/sina)/(-cosa)
=-cosa
所以f(-31π/3)
=-cos(-31π/3)
=-cos(-5×2π-π/3)
=-cos(-π/3)
=-cosπ/3
=-1/2
=sinacosa(cosa/sina)/(-cosa)
=-cosa
所以f(-31π/3)
=-cos(-31π/3)
=-cos(-5×2π-π/3)
=-cos(-π/3)
=-cosπ/3
=-1/2
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